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Finding the Fourth Proportional to 656,324, 905,727.48 and 354,518

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Solution

The fourth proportional to 656,324, 905,727.48 and 354,518 is: 489,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,324 : 905,727.48 = 354,518 : x
  2. Step 2: Convert to fraction form
    656,324/905,727.48 = 354,518/x
  3. Step 3: Cross multiply
    656,324x = 905,727.48 × 354,518
  4. Step 4: Simplify right side
    656,324x = 321,096,694,754.64
  5. Step 5: Solve for x
    x = 321,096,694,754.64/656,324
  6. Step 6: Final answer
    x = 489,235.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.